34130759121 has 24 divisors (see below), whose sum is σ = 52324665120. Its totient is φ = 21364227456.

The previous prime is 34130759119. The next prime is 34130759123. The reversal of 34130759121 is 12195703143.

34130759121 is a `hidden beast` number, since 3 + 41 + 3 + 0 + 7 + 591 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (34130759119) and next prime (34130759123).

It is not a de Polignac number, because 34130759121 - 2¹ = 34130759119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34130759123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202095 + ... + 330308.

It is an arithmetic number, because the mean of its divisors is an integer number (2180194380).

Almost surely, 2^34130759121 is an apocalyptic number.

It is an amenable number.

34130759121 is a deficient number, since it is larger than the sum of its proper divisors (18193905999).

34130759121 is a wasteful number, since it uses less digits than its factorization.

34130759121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532845 (or 532842 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 34130759121 in words is "thirty-four billion, one hundred thirty million, seven hundred fifty-nine thousand, one hundred twenty-one".